7 citations · 15 across the 4 of their papers we have counts for
6 papers
Algebraic entropy, symmetries and linearization of quad equations consistent on the cube
Giorgio Gubbiotti, Christian Scimiterna, Decio Levi
We discuss the non autonomous nonlinear partial difference equations belonging to Boll classification of quad graph equations consistent around the cube. We show how starting from…
Linearizability and fake Lax pair for a consistent around the cube nonlinear non-autonomous quad-graph equation
G. Gubbiotti, C. Scimiterna, D. Levi
We discuss the linearization of a non-autonomous nonlinear partial difference equation belonging to the Boll classification of quad-graph equations consistent around the cube. We s…
High order multiscale analysis of discrete integrable equations
R. Hernandez Heredero, D. Levi, C. Scimiterna
In this article we present the results obtained applying the multiple scale expansion up to the order to a dispersive multilinear class of equations on a square lat…
Discrete Multiscale Analysis: A Biatomic Lattice System
G. A. Cassatella Contra, D. Levi
We discuss a discrete approach to the multiscale reductive perturbative method and apply it to a biatomic chain with a nonlinear interaction between the atoms. This system is impor…
A discrete linearizability test based on multiscale analysis
R. Hernandez Heredero, D. Levi, C. Scimiterna
In this paper we consider the classification of dispersive linearizable partial difference equations defined on a quad-graph by the multiple scale reduction around their harmonic s…
Integrability of Differential-Difference Equations with Discrete Kinks
C. Scimiterna, D. Levi
In this article we discuss a series of models introduced by Barashenkov, Oxtoby and Pelinovsky to describe some discrete approximations to the ϕ^4 theory which preserve travelling…